torus

doughnut-shaped surface of revolution, based on a revolved figure of a circle
Thing general Q12510
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torus

Summary

torus ranks in the top 0.79% of general entities by monthly Wikipedia readership (1,567 views/month, #615 of 77,819).[1]

Key Facts

  • torus's image is recorded as Simple Torus.svg[2].
  • torus's follows is recorded as sphere[3].
  • torus's followed by is recorded as genus-two surface[4].
  • torus's GND ID is recorded as 4185738-0[5].
  • torus's subclass of is recorded as surface of revolution[6].
  • torus's subclass of is recorded as surface[7].
  • torus's subclass of is recorded as closed manifold[8].
  • torus's subclass of is recorded as genus g surface[9].
  • torus's subclass of is recorded as compact Riemann surface[10].
  • torus's subclass of is recorded as shape[11].
  • torus's subclass of is recorded as geometric primitive[12].
  • torus's Commons category is recorded as Torus[13].
  • torus's pronunciation audio is recorded as LL-Q1321 (spa)-Millars-toro.wav[14].
  • torus's Freebase ID is recorded as /m/0jy41[15].
  • torus's topic's main category is recorded as Category:Torus[16].
  • torus's Commons gallery is recorded as Torus[17].
  • torus's described by source is recorded as Great Soviet Encyclopedia (1950–1958)[18].
  • torus's Encyclopædia Britannica Online ID is recorded as topic/torus-physics[19].
  • torus's has characteristic is recorded as genus[20].
  • torus's BBC Things ID is recorded as 383b0180-875f-4478-9f85-db360abbc277[21].
  • torus's different from is recorded as Three-torus[22].
  • torus's different from is recorded as Taurus[23].
  • torus's different from is recorded as torii[24].
  • torus's different from is recorded as pinched torus[25].
  • torus's defining formula is recorded as \left(R - \sqrt{x^2 + y^2}\right)^2 + z^2 = r^2[26].

Body

Works and Contributions

Things named for torus include Tor Missile System[27], a missile model[28], founded in 1975[29]; doughnut[30], a maneuver[31]; toric variety[32]; and toroidal graph[33], a minor-closed graph class[34].

Why It Matters

torus ranks in the top 0.79% of general entities by monthly Wikipedia readership (1,567 views/month, #615 of 77,819).[1] torus has Wikipedia articles in 30 language editions, a strong signal of global cultural recognition.[35] torus is known by 16 alternative names across languages and contexts.[36]

Entities named for torus include Tor Missile System[27], a missile model[28], founded in 1975[29]; doughnut[30], a maneuver[31]; toric variety[32]; and toroidal graph[33], a minor-closed graph class[34].

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] . wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . wikidata.org.
  12. [13] . wikidata.org.
  13. [14] . wikidata.org.
  14. [15] . Freebase Data Dumps. wikidata.org.
  15. [16] . wikidata.org.
  16. [17] . wikidata.org.
  17. [18] . wikidata.org.
  18. [19] . wikidata.org.
  19. [20] . wikidata.org.
  20. [21] . BBC Things. wikidata.org.
  21. [22] . wikidata.org.
  22. [23] . wikidata.org.
  23. [24] . wikidata.org.
  24. [25] . wikidata.org.
  25. [26] . wikidata.org.

Inverse relationships (entities pointing at this one)

  1. [27] . wikidata.org. → on this site
  2. [30] . wikidata.org. → on this site
  3. [32] . wikidata.org. → on this site
  4. [33] . wikidata.org. → on this site

Inline context (facts about related entities)

  1. [28] . Wikidata. wikidata.org. → on this site
  2. [29] . Wikidata. wikidata.org. → on this site
  3. [31] . Wikidata. wikidata.org. → on this site
  4. [34] . Wikidata. wikidata.org. → on this site

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [35] . Wikidata sitelinks. wikidata.org.
  3. [36] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). torus. Retrieved April 10, 2026, from https://4ort.xyz/entity/torus
MLA “torus.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/torus.
BibTeX @misc{4ortxyz_torus_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{torus}}, year = {2026}, url = {https://4ort.xyz/entity/torus}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): torus — https://4ort.xyz/entity/torus (retrieved 2026-04-10)

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